KMS Of Academy of mathematics and systems sciences, CAS
| dembowskiostrompolynomialsfromreverseddicksonpolynomials | |
Zhang Xiaoming1; Wu Baofeng2; Liu Zhuojun1
| |
| 2016 | |
| Source Publication | journalofsystemsscienceandcomplexity
 |
| ISSN | 1009-6124 |
| Volume | 29Issue:1Pages:259 |
| Abstract | This paper gives a full classification of Dembowski-Ostrom polynomials derived from the compositions of reversed Dickson polynomials and monomials over finite fields of characteristic 2. The authors also classify almost perfect nonlinear functions among all such Dembowski-Ostrom polynomials based on a general result describing when the composition of an arbitrary linearized polynomial and a monomial of the form x~(1+2a) is almost perfect nonlinear. It turns out that almost perfect nonlinear functions derived from reversed Dickson polynomials are all extended affine equivalent to the well-known Gold functions. |
| Language | 英语 |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/45817 |
| Collection | 系统科学研究所 |
| Affiliation | 1.中国科学院数学与系统科学研究院 2.中国科学院信息工程研究所 |
| Recommended Citation GB/T 7714 | Zhang Xiaoming,Wu Baofeng,Liu Zhuojun. dembowskiostrompolynomialsfromreverseddicksonpolynomials[J]. journalofsystemsscienceandcomplexity,2016,29(1):259. |
| APA | Zhang Xiaoming,Wu Baofeng,&Liu Zhuojun.(2016).dembowskiostrompolynomialsfromreverseddicksonpolynomials.journalofsystemsscienceandcomplexity,29(1),259. |
| MLA | Zhang Xiaoming,et al."dembowskiostrompolynomialsfromreverseddicksonpolynomials".journalofsystemsscienceandcomplexity 29.1(2016):259. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment